The gauge pressure of the oxygen in the tank in atmospheres is 11.46 atm.
What is gauge pressure?
The gauge pressure is given as the pressure relative to the ambient atmospheric pressure. The gauge pressure can be calculated as:
Gauge pressure = System pressure - Atmospheric pressure
The system pressure of the 35-liter tank with 18.3 moles oxygen is given as:
Pressure = moles * Rydberg constant * Temperature / Volume
Pressure = 18.3 moles * 0.08 L.atm.mol⁻¹.K⁻¹ * 298 K / 35 L
Pressure = 12.46 atm
The standard pressure is given as 1 atm.
Thus, the gauge pressure of the oxygen in the tank can be:
Gauge pressure = System pressure - Atmospheric pressure
Gauge pressure = 12.46 atm - 1 atm
Gauge pressure = 11.46 atm
The gauge pressure of the oxygen in the tank in atmospheres is 11.46 atm.
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